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Finding the Fourth Proportional to 3,777.31, 5,664.97 and 1,696.15

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Solution

The fourth proportional to 3,777.31, 5,664.97 and 1,696.15 is: 2,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.31 : 5,664.97 = 1,696.15 : x
  2. Step 2: Convert to fraction form
    3,777.31/5,664.97 = 1,696.15/x
  3. Step 3: Cross multiply
    3,777.31x = 5,664.97 × 1,696.15
  4. Step 4: Simplify right side
    3,777.31x = 9,608,638.87
  5. Step 5: Solve for x
    x = 9,608,638.87/3,777.31
  6. Step 6: Final answer
    x = 2,543.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.